الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
It well known that Einstein’s theory of general relativity is a geometri.zed theory of gravitation. Weyl in 1918 suggested the fust so-called unifled field theory which is a geometrized theory of gravitation and electromagnetism. ”B\\\ t\\,,:; t\\e~T’:I \’:; l\~\ \a’h.e\\ ’:>~X\()\l’i)\’) \)ecaU’i)e it was based on .the concept of
non -integrability of length transfer.
Lyra in 1951 suggested a modification of Riemannian geometry by
introducing a gauge function in which remove the non-integrability
condition ofJength of a vector under parallel transport.
In this work we study the mean feature of Weyl’s and Lyra’s geometry. A
review for some cosmological models based on Lyra manifold,
such as: spherically symmetric, Fridmann-Robertson -Walker (FRW) and
some Bianchi types is carried.
A detailed study of inhomogeneous Bianchi type I cosmological model with
electromagnetic field have been done.
The results obtained in this thesis are published 10 Ref [50] m the
Bibliography.